## Discrete Approaches to the Dynamics of Fields and Space-Time

### Information

Discrete approaches to space-time have been playing an important role in lattice gauge theory, dynamical triangulation of quantum gravity and other formulations. The various approaches using non-perturbative discrete formulations make numerical calculation possible. We think that discrete approaches will gradually become indispensable, even for a possible new formulation beyond the standard model and for Planck scale physics. Considering the development of non-perturbative formulations of superstring theory and the gauge/gravity correspondence, the discrete approaches to the dynamics of fields and space-time are getting increasingly important. They also become a promising tool in condensed matter physics and quantum information theory.

In this workshop we aim to create a platform for researchers working in the field described above to discuss and exchange ideas for further new developments. As concrete subjects, we discuss: lattice gauge theory, large N gauge theory, lattice supersymmetry, field theories on non-commutative space-time, gauge/gravity correspondence, quantum gravity, matrix models of non-perturbative formulation of string theory, lattice gravity, tensor models, etc. Recent developments in condensed matter physics which are closely related to particle physics will be discussed as well.

This workshop is one of a series of workshops starting in 2010 at YITP, 2012 at RIKEN, 2013 at KEK, 2014 at Keio University, 2015 at the Okayama Instituten of Quantum Physics, 2016 at Shizuoka University and 2017 at APCTP. This workshop is an event within the thematic program "String-Math 2018" of Tohoku Forum of Creativity.

#### Date

September 9, 2018 – September 12, 2018

#### Venue

TOKYO ELECTRON House of Creativity 3F, Lecture Theater, Katahira Campus, Tohoku University [Access]

#### Speakers

Masafumi Fukuma (Kyoto University)

Daisuke Kadoh (Keio University)

Noboru Kawamoto (Hokkaido University)

Taigen Kawano (Kyoto University)*

Yoshio Kikukawa (University of Tokyo)*

Luca Lionni (Kyoto University)*

Takaki Matsumoto (University of Tsukuba)*

Nobuyuki Matsumoto (Kyoto University)*

Hisayoshi Muraki (Sogang University)*

Shinsuke Nishigaki (Shimane University)

Jun Nishimura (KEK)

Tomotoshi Nishino (Kobe University)*

Naoki Sasakura (Kyoto University)

Matsuo Sato (Hirosaki University)*

Yuki Sato (Nagoya University)

Fumihiko Sugino (Institute for Basic Science)

Sotaro Sugishita (Osaka University)*

Masaki Tezuka (Kyoto University)*

Asato Tsuchiya (Shizuoka University)

* = Invited speaker

#### Organizers

Satoshi Watamura (Tohoku University)*

Tsuguhiko Asakawa (Maebashi Institute of Technology)**

Hiroyuki Fuji (Kagawa University)

Masafumi Fukuma (Kyoto University)

Goro Ishiki (University of Tsukuba)

Daisuke Kadoh (Keio University)

Issaku Kanamori (Hiroshima University)

Noboru Kawamoto (Hokkaido University)

So Matsuura (Keio University)

Shinsuke Nishigaki (Shimane University)

Jun Nishimura (KEK)

Naoki Sasakura (Kyoto University)

Yuki Sato (Nagoya University)

Fumihiko Sugino (Institute for Basic Science)

Hiroshi Suzuki (Kyushu University)

Asato Tsuchiya (Shizuoka University)

Yoshiyuki Watabiki (Tokyo Institute of Technology)

* = Chair

** = Co-Chair

#### Time Schedule [Oct. 01, 2018 Updated]

- Sunday, September 9, 2018
- Chair: Satoshi Watamura
- 13:30 – 14:45
- Yoshio Kikukawa (University of Tokyo)
- On the gauge invariant path-integral measure for the overlap Weyl fermions in 16 of SO(10) Slides

- 15:00 – 16:15
- Tomotoshi Nishino (Kobe University)
- Tensor Network Formulations Slides

- 16:30 – 17:45
- Daisuke Kadoh (Keio University)
- Supersymmetric gradient flow

- Monday, September 10, 2018
- Chair: Issaku Kanamori
- 9:30 – 10:45
- Sotaro Sugishita (Osaka University)
- Deep learning and AdS/CFT Slides

- 11:00 – 12:15
- Luca Lionni (Kyoto University)
- Escaping the branched polymer phase in dynamical triangulations Slides

- 12:15 – 14:00
- Lunch Break

- Chair: Goro Ishiki
- 14:00 – 15:45
- Canonical tensor model through data analysis --- Dimensions, topologies, and geometries
- Naoki Sasakura (Kyoto University) Slides
- Taigen Kawano (Kyoto University) Slides
- (including 15-min. break)

- 16:00 – 16:45
- Fumihiko Sugino (Institute for Basic Science)
- Highly entangled quantum spin chains and their extensions by semigroups Slides

- 17:00 – 17:45
- Yuki Sato (Nagoya University)
- Understanding zero-temperature criticality of Ising model on 2d dynamical triangulations Slides

- 18:30 –
- Banquet

- Tuesday, September 11, 2018
- Chair: Yuki Sato
- 9:30 – 10:45
- Matsuo Sato (Hirosaki University)
- Non-perturbative Formulation of Superstring Theory Based on String Geometry Slides

- 11:00 – 12:15
- Asato Tsuchiya (Shizuoka University)
- Emergence of chiral zero modes in the Lorentzian type IIB matrix model

- 12:15 – 14:00
- Lunch break

- Chair: So Matsuura
- 14:00 – 15:15
- Masaki Tezuka (Kyoto University)
- Level statistics and Lyapunov spectrum of the SYK model

- 15:30 – 16:15
- Shinsuke Nishigaki (Shimane University)
- Janossy densities for chiral random matrix ensembles and multi-flavor two-color QCD Slides

- 16:30 – 17:15
- Masafumi Fukuma (Kyoto University)
- Gradient flow and the renormalization group

- 17:30 – 18:15
- Nobuyuki Matsumoto (Kyoto University)
- Applying the generalized Lefschetz thimble method with parallel tempering algorithm to the sign problem in the Hubbard model away from half filling

- Wednesday, September 12, 2018
- Chair: Hiroyuki Fuji
- 9:30 – 10:45
- Jun Nishimura (KEK)
- Space-time structure in the Lorentzian type IIB matrix model

- 11:00 – 11:45
- Takaki Matsumoto (University of Tsukuba)
- Berezin-Toeplitz quantization and diffeomorphisms for fuzzy spaces

- 11:45 – 13:30
- Lunch break

- Chair: Tsuguhiko Asakawa
- 13:30 – 14:15
- Hisayoshi Muraki (Sogang University)
- Open KdV hierarchy and minimal gravity on disk

- 14:30 – 15:30
- Noboru Kawamoto (Hokkaido University)
- Quantization of interacting topological super point particle field theory Slides

#### Contact

Email: watamura＊tuhep.phys.tohoku.ac.jp (change＊to @)